If AAA and BBB are n×nn \times nn×n matrices, which property of the rank is correct?
rank(AB)≤rank(A)rank(AB) \leq rank(A)rank(AB)≤rank(A)
rank(A+B)=rank(A)+rank(B)rank(A+B) = rank(A) + rank(B)rank(A+B)=rank(A)+rank(B)
rank(A+B)=min(rank(A),rank(B))rank(A+B) = \min(rank(A), rank(B))rank(A+B)=min(rank(A),rank(B))
rank(AB)=rank(A)⋅rank(B)rank(AB) = rank(A) \cdot rank(B)rank(AB)=rank(A)⋅rank(B)